The three common phases of m +j20 j/2 pdt +oplle.x0lqowvhm5 w6d2dwn0watter are

  Density is

  Substance A has a den7/u u,s7hd;mz m stplqrc 41z+sity of $3.0 \; g/cm^{3}$ and substance B has a density of $4.0 \; g/cm^{3}$. In order to obtain equal masses of these two substances, the ratio of the volume of A to the volume of B will be equal to

  Pressure is

  Which of the following is not a unit of pressure6s4 s0px4jp5qsr uuj( ?

  Consider three drinking glasses. nqck 82ewdfxv 1ux kip6/)o hr6t2 1+rAll three have the same area base, and all three are filled to the same depth with water. Glass A is cylindrical. Glass B is wider at the top than at the bottom, and so holds more water than A. Glass C is narrower at the top than at the bottom, and so holds less water than A. Wuhqk6r1 t vi1)x2 fxp2 kdn re6o8w/c+hich glass has the greatest liquid pressure at the bottom?

  What is the difference between the pressures inx3i2qgz jrk:k.l. ;pge7r yn.side and outside a tire called?

  When atmospheric pressure changes, what happens to the abso .fjejh8cw) g0lute pressure at the bott8jcf0hge .) jwom of a pool?

  You are originally 1.0 m beneath the surface of a pool. If you dive to *kmj fnil 2,k jeyictn462m4:2.0 m beneath the surface, what happens to24 mkmyln6j *4c:ki,tjif2 en the absolute pressure on you?

State Pascal's principle.x 293)xubgk ip

State Archimedes' prc,c o l,25d2tip;j:o,g xzq evinciple.

  $50 \; cm^{3}$ of wood is floating on water, and $50 \; cm^{3}$ of iron is totally submerged. Which has the greater buoyant force on it?

  As a rock sinks deeper and deeper i xt( px+: ,9in6un- snxsls-hpnto water of constant density, what happens to the buoyanxs,-6si:l+xxpp9-u(h ns t nnt force on it?

  Salt water has great1l 4b0ys.iro su+g :vcer density than fresh water. A boat floats in both fresh water and in vu sbs:r4il+0c .yg 1osalt water. Where is the buoyant force greater on the boat?

  Salt water is more dense than fresh water. ke o.ub u8ei(p/3w5rp A ship floats in both fresh water and salt water. Comr./8uo ekui5p 3b p(ewpared to the fresh water, the volume of water displaced in the salt water is

  A steel ball sinks in water but floats in a pool of mercury. Wyg6mk.3u l qytrz;-a/here is the buoyant force on the ball grqr6/ -l mka. yzyt3gu;eater?

  A 10-kg piece of aluminum sits at the bottom of a lapm ks7:8gthi ywee -z+4.z.zjke, right next to a 10-kg piece of lead. Which has the greater bgp-wsz+zkee84j. 7 :hm .yiztuoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bathtub.g: i38; wjv: hsrmcpr+ If the iron is removed from the wood, what happens to the wath :3vsgmrw 8cj:; p+rier level in the tub?

  A piece of wood is floating in a bathtub. A *emk*pn v lf61c 8n+gasecond piece of wood sits on top of the first piece, and does not touch the water. If the top piece is taken off and placed in the water, 8nv pela*6g1 +c*nkfmwhat happens to the water level in the tub?

  Water flows through a pipe. The5uju/qs 1tu(z+2*+ocmu p yd k diameter of the pipe at point B is larger than at point A. Where is m/ k+2dsopy1cuj(*uu+ uz5qt the speed of the water greater?

  An ideal fluid flows at 12 m/s in a horizontal pv -44ypa3xd c9)nm pf7rt;n vkipe. If the pipe widens to twice its original radius, what is the flow speed in the wider secy 3)47rk;9ap vntfm -xnvpd4 ction?

  An ideal fluid flows at 12 m/s in a horizontal pipe. Ift l kn46(; jsptfyco/ j.3kwj( the pipe narrows to half its original radius, what is the flow speed i y /jl jj4oks;t3(.nk( w6fpctn the narrower section?

State Bernoulli's princi5 prz76kvk ag9p yju;-ple.

  Which one of the following is associated with the law of conservation of energlftfej4 /r*pzv/yt eaz 5fiv tl1 p ;b58e10h0y 4jl1efb5 ve 0*afitpvlht5p /t8ey0 ; f/z 1rzin fluids?

  As the speed of a moving fluie1a-0 y(y bji /scfyo0d increases, the pressure in the fluid

  Water flows through a pipe. The diameter of the pipe at point B is la:,i5 kf sjec8vrger than at po:f,8sic ev5j kint A. Where is the water pressure greatest?

  When you blow some air above a paper strip, thl 6sx4 z/2me5vehd8l je paper rises. This is because

  A sky diver falls through the air at terminal vku:(fcc 3fbk1/ o tk07-4ebgr7wgp poelocity. The force of air resistance on ob:gek(w13 7f/o ftkc uk -c04gbpp7r him is

  Two Styrofoam balls, oup aue ,h;h:g;f radii R and 2R, are released simultaneously from a tall tower. Which will reach aueh;,ghp; u:the ground first?

  When a small spherical roc7xqxd02i- v 5 flum3uuk of radius r falls through water, it experiences a dru7 xf2lx3i5u mq-vud0ag force $F=arv$, where $v$ is its velocity and $a$ is a constant proportional to the viscosity of water. From this, one can deduce that if a rock of diameter 2.0 mm falls with terminal velocity, $v$, then a rock of diameter 4.0 mm will fall with terminal velocity .

  Which has the greatesqc(pfr-nl r: 8t effect on the flow of fluid through a narrow pipe? That is, if you made a 10% change in each of the quantitp( c-fl:n 8rrqies below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B h69t 8lrap13)u eh bgj:5vjg scas twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pipes. If the flow rate in pipe A is Q, what i9v 6gu pr):ejjt 8gab3h1cl s5s the flow rate in pipe B?

  Two horizontal pipes have the same diameter, but pipe B it-8bqu ( :u f4yr;aoelzbo.nw1*ejm /s twice as long as pipe A. Water unde e-o4 .la;j/1 o:b(fwnyqu zm8r*ebt urgoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pipes. If the flow rate in pipe B is Q, what is the flow rate in pipe A?

  When soup gets cold, it often tastes greasy. This "grea-snh*o( dbn-tt7.+dnt wh/cg sy" taste seems to be associated with oil spreading out all over the surface of the soup, instead of staydn*h/t b+h.nndsgc t-tw( -o7 ing in little globules. To us "physikers", this is readily explained in terms of

  When a tube of diameter d is placed in water, the water rises to a hh. v.pw8nwkz5;)jz cpr; :m9zeh(a lq eight h. If the diamnzh k wh er9.5jzql.cp:za p;8 (;)mwveter were half as great, how high would the water rise?

  Certain insects, such as the water bug, are sufficientlyalbe--hg i91 uxe2u4d lightweight that they can run on top of water without breaking the surface tension. Water bug A has weig -2e9hdu4 e uixg-lba1ht W. Water bug B is twice as big as bug A, in all dimensions. That is, bug B is twice as long, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as the water bug, are sufficiently lightweight thuo/- 5ggvq4e iat they can run on top of water without breaking the surface qovgg/4 e-i 5utension. This is possible because the water, due to surface tension, exerts an upward force on the bottom of the bug's feet. Suppose that the maximum possible upward force on the feet of water bug A is F. Now suppose that water bug B is twice as big as bug A in every dimension. That is, bug B is twice as long, twice as wide, etc. What is the maximum upward force on the feet of bug B?

  A plastic block of dimensions 2.00 cm x +-uk;;mbwiec 3.00 cm x 4.00 cm has a mass of 30.0 g. Whai bm;wc u;-k+et is its density?

  A liquid has a specific gra no;ii1)lik*1dl8w v yvity of 0.357. What is its density?

  A brick weighs 50.0 N, and measures 30.0 cm x 10.0 cm x 4.00 cm. What duh/bin 3rt2. is the maximum pressure it can e2htdn .r u3b/ixert on a horizontal surface?

  A person weighing 900 N is standing ont529v vmp 9 97qhzqwkf snowshoes. Each snowshoe has area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (adh2 qq; ;-)m f7pgtpsy;piw4 absolute) must a submarine withstand at a depth of 120.0 m in the oceat;-7pahwqs;d mf);2gpi p yq4n?

  A circular window of 30 ium3yuv ig75u9( k ot2r 7gdlc6oa: c1cm diameter in a submarine can withstand a maximum force ougcyv6armkl i39: ( tc7g o 7oiu5du21f $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pressure if the absolute h,b6x /is yd;odx:h:q pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below 3:tl2pc azo 7vthe surface of sea? (The density of set2z7c v3plo:aawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressurl1 opwz,fc3t gw(hm3qr 5 -m7we at a location 15.0 m below the surface of sea? (The density of seawatf(mhl3grw w1-p o7zqm tw5c3, er is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston oyj.rmk,+ 4w6;vedie.r/g d2ye f jl ,kf a hydraulic machine. The small piston has ak6+riemddr kj; .jfw/y ,e . 2e4gy,vlrea $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage lift, the small piston hakdzxkw965hp pk/: +tjs a radius of 5.0 cm and the large piston has9kdtx+ pkkj:5wz6 h/p a radius of 15 cm. What force must be applied on the small piston in order to lift a car weighing 20,000 N on the large piston?

  A 13,000 N vehicle is to be lift,/ *pood, fexxmd- z)ted by a 25 cm diameter hydraulic piston. What force needs to be applied to a 5.0 cm zod)xe-*xdp t,o/f, mdiameter piston to accomplish this?

  The small piston of a hydraulic lift has a diameto 5xg)wfumh.2l zcr bd)3jjf3:u9q 8i er of 8.0 cm, and its large piston has a diameter of 40lx 5fb.)c)ui2h zfwd 8jg 33m9jur o:q cm. The lift raises a load of 15,000 N.
(a) Determine the force that must be applied to the small piston    $N$ (fill in numerical value only)
(b) Determine the pressure applied to the fluid in the lift    $\times 10^5 \; Pa$ (fill in numerical value only)

  A block of metal weighs 40 N in air and 30 N xa2gkj3ra2 ks/6 g3ro(mtt)m in water. What is the buoyant force of the war2rkmg6o)g s33jm taxt (2 ak/ter?

  An object has a volum6anlf-p qr9o h( awfm9-u)mftrj- *:a e of $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid iron is supported by a strin jwd rf+o(e n;/mytm4mj,bw :5g while submerged in water. Whary ebf4jj:5+mmd / wotm(nw,;t is the tension in the string? (The specific gravity of iron is 7.86.)

  If the density of go dw(ma .6s 1 ,u4s5qzgym8eqjk9vd+vcld is $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (densitbz g p*0avfj /dd7.ne9 vozm17y = $7.8 \times 10^3 \; kg/m^{3}$) of mass 20,000 kg. What is the tension in the lifting cable (1) when the submarine is submerged, and (2) when it is entirely out of the water?

  An object weighs 7.84 N when it is in air anu+(wn9. v yjk 32 opt7v h0qvjqd9ls2vd 6.86 N when it is immersed in wate2lqsv.t v+7jyq2w3odp 9 jv 9k(v 0hunr. What is the specific gravity of the object?

  A container of water is placed on a scale, and the scale read) ppsq0g(b/6cl)hu+ ua0ptf ks 120 g. Now a 20-g piece of copper (specific gravity = 8.9) is suspended from a thb )au0p0u/g thp (6q)k lfsp+cread and lowered into the water, not touching
the bottom of the container. What will the scale now read?

  A piece of aluminum with a massz)phg)k tf w66 of 1.0 kg and density of $2700 \; kg/m^{3}$ is suspended from a string and then completely immersed in a container of water. The density of water is $1000 \; kg/m^{3}$.
(a) Determine the volume of the piece of aluminum    $\times 10^{-4} \; m^3$ (fill in numerical value only)
(b) Determine the tension in the string after the metal is immersed in the container of water $N$ (fill in numerical value only)

  A cylindrical rod of length 122dkyee4 5hs t1 cm and diameter 2.0 cm will just barely float in water. What is its massty15 e24 dkhes?

  A rectangular box of negligible mass measures 5.0 m lon) bgh-x b z/6.bk8hx uy5yb/yvg, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loaded onto the boxx 6 b)5 hg/.y -8yvzhb/kbbyux before it sinks in a lake?

  A $1.0 m^{3}$ object floats in water with 20% of it above the waterline. What does the object weigh out of the water?

  An object floats with ha. mmb00i yenug,b69-pl 0s jkilf its volume beneath the surface of the water. The weight of the displaced water is 2000 k9- ,g. l0m nibem6 0ibjysu0pN. What is the weight of the object?

  A solid object floats in water with three-fourths of its volume beneath the su tx wcri3* teu9k1) z (((h*)teoxyycfrface. What is the objwf)tr e(x(e9*ucx1zt o*yc3h (ki)t yect's density?

  A 200-N object floats with three-fourths of its volume ben n4:;xixqbnb*cefg4p):4c9 ter8 v 4xng: ldweath the surface of the water. What is the :ivnbewx t :4:p);g4 d4rx* x9 qglc8ne4c bfnbuoyant force on the object?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thicktn98azl)8hb 3 zm+dum. What is the minimum area of the floe that will just support the bear in saltwater of specific grmlt3bu+ zz 8h9n adm8)avity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter 3.0 cm at 2.0 m/s. k8wv:sj;u3ju6zfm99b2 j a z h Find the flow rate.

  Liquid flows through a 4.0 cm diameter 3xfmb*e8oli,x+.i8u h ,ql mnpipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the velocity in thi+*. u8qi 3bxlm8olfinx,emh , s restriction?

  Water flows at 12 m/s in a horizontal pipe with a pressure ogak3z(xk:t f. f $3.0 \times 10^4 \; N/m^2$. If the pipe widens to twice its original radius, what is the pressure in the wider section?

  How much pressure does itg6 mwx0jcp,,g take for a pump to supply a drinking fountain with 300 kPa, if the fountain is 3 ,mp,6cg xwgj00.0 m above the pump?

  A hole of radius 1.0 mm occ-hkc fvin*1e7p n3 no:urs in the bottom of a water storage tank that holds water at a depth of 15 m. At what rate will water nc7 ef-n*o:1ivkh3n p flow out of the hole?

  Water flows through a horizor4p i+/*lsk5mx5ond cnq a 2-fntal pipe of cross-sectional area $10.0 \; cm^{2}$ at a pressure of 0.250 atm. The flow rate is $1.00 \times 10^{-3} \; m^{3}/s$. At a valve, the effective cross-sectional area of the pipe is reduced to $5.00 \; cm^{2}$. What is the pressure at the valve?

  SAE No. 10 oil has a visco3ylv y(qp+efp7q ax 97sity of 0.20 Pa-s. How long would it take to pour 4.0 L of oil through a funnel with a neck 15 cm long and 2.0 cm in diameter? Assume the surface of the oil is kept 6 cm above the top of the neck, and neglect any drag effects due to th py+77p felxay (9v3qqe upper part of the funnel.

  Suppose that the build-up of z2 cb*w3p sgn7fatty tissue on the wall of an artery decreased the radius cpz2bwn3 g*s7 by 10%. By how much would the pressure provided by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are placed in a pan of water. Tube x 1qkzh.nf g;*3ydq9uA has twice the diameter of tube B. If water rises 24 cm in t *uk91dgx. qnh q3yz;fube A, how high will it rise in tube B?

  The surface tension of water is 0.073 N/m. How high will water rise in ad(ozp0knv1(fb88f ds ffb+ yi.. q6 eb capillary tube oszpkob8db1 (.e+ v (fin6f0ffy8 . qbdf diameter 1.2 mm?

  232

  To what height would water at 0 degree Celsius rise in a glass capillary t0y w(n u;spuwl4v30s6 ro gn3tube with 3 tyv ;nsur36lpwg4u0os0 (wna diameter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the wa)d fxtb9 on,ro8.ap( fter rises in the tube to 4.0 cm above the level of the pan. The surface tension in the liquid is lowered to one-half its original value by the addition of some soap. What happens to the height of the liquid rotf.(f,xd)o 89abpn column in the tube?

  Consider a rectangular frame of length 0e rta2h:s99 wi.120 m and width 0.600 m with a soap film formed within its confined area. If the sur ta:9 9iew2shrface tension of soapy water is 0.0260 N/m, how much force does the soap film exert on the 0.600 m side?

  An adjustable rectangular frame has length 12 ifo zg; r797ri6c.tg ecm and width 5 cm, and is built in such a way that one of the longer sides can be moved without bursting the soap film contained in the frame. Soapy water has surface tension 0.026 N/m. How much wori 7gif9 r.ge;rto7c6zk is required to move the adjustable long side so that the frame is 12 cm square?